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Eigenvector Method for ranking alternatives with Vague Value Measurements

Journal of Beijing Institute of Technology 2009年第2期18卷 247-252页

作者：侯福均吴祈宗 School of Management and Economics Beijing Institute of Technology

An eigenvector method for ranking alternatives whose measurements are given as vague values is provided. Firstly, a positive matrix is constructed which is defined as evaluation information matrix （EIM）. Based on four assumptions for evaluating alternatives, a ranking eigenvector is defined. And then it is proved, based on positive matrix theory, that the EIM＇s eigenvector corresponding to the maximal eigenvalue is the ranking vector. For alternatives whose characteristics are presented by vague sets, the proposed techniques can evaluate the degree of suitability to which an alternative satisfies the decision-maker＇ s requirement efficiently.

关键词： decision analysis vague set positive matrix eigenvector alternative ranking

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Group Decision-Making Method of Entry Policy During a Pandemic

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Tsinghua Science and Technology 2024年第1期29卷 56-65页

作者： Chunsheng Cui Baiqiu Li Xianfeng Chen College of Computer and Information Engineering Henan University of Economics and LawZhengzhou 450046China Tourism College Beijing Union UniversityBeijing 100101China

Omicron,the new mutant coronavirus,has spread rapidly globally,attracting close attention from different stakeholders *** complex and constantly changing epidemic situation has had a new impact on the ***,this paper focuses on the characteristics of the rapid spread of the COVID-19 variant ***,epidemic prevention experts conduct preliminary screening as part of the existing epidemic plan database according to the current local situation,after which they sort the alternatives deemed more suitable for the *** the decision-makers identify the most divergent expert group,plan for consultation and adjustments,and finally obtain the plan with the smallest *** article aims to integrate the experts'opinions with the method of minimizing the differences,which can maximize the expert consensus and help organize the schemes that best meet the epidemic *** experts'negotiation and iteration of the differences in the initial plan align with the current complex and dynamic epidemic situation and are of great significance to the rapid formulation of plans to achieve effective prevention and control.

关键词： epidemic prevention and control group decision-making alternative ranking control policy

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Model of interval multi-attribute optimization for overseas oil-gas projects

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Petroleum Science 2015年第2期12卷 345-354页

作者： Yong-Zhang Huang Bao-Sheng Zhang Xin-Qiang Wei Ren-Jin Sun School of Business Administration China University of Petroleum Overseas Investment Environment Research Department CNPC Economics and Technology Research Institute

Because of the incompleteness and uncertainty in the information on overseas oil-gas projects, project evaluation needs models able to deal with such problems. A new model is, therefore, presented in this paper based on interval multi-attribute decision-making theory. Analysis was made on the important attributes （index） and the re- lationships affecting the basic factors to the project eco- nomic results were described. The interval numbers are used to describe the information on overseas oil and gas projects. On these bases, an improved TOPSIS model is introduced for the evaluation and ranking of overseas oil and gas projects. The practical application of the new model was carried out for an oil company in selecting some promising blocks from 13 oil and gas blocks in eight dif- ferent countries in the Middle East. Based on these inno- vative studies, some conclusions are given from theoretical and application aspects. The practical application shows that the introduction of interval numbers into the evaluation and ranking of the overseas oil and gas projects can lead to more reasonable decisions. The users can do the project evaluation based on the comprehensive values as well as based on some preferred index in the project evaluation and ranking.

关键词： Interval data Improved TOPSIS modelMultiple attribute decision making Overseas oil-gasproject alternative ranking

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Multi-attribute decision-making based on subjective and objective integrated eigenvector method

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Journal of Southeast University(English Edition) 2007年第1期23卷 144-147页

作者：龚艳冰陈森发东南大学经济管理学院南京210096

An integrated approach is proposed to investigate the fuzzy multi-attribute decision-making （MADM） problems, where subjective preferences are expressed by a pairwise comparison matrix on the relative weights of attributes and objective information is expressed by a decision matrix. An eigenvector method integrated the subjective fuzzy preference matrix and objective information is proposed. Two linear programming models based on subjective and objective information are introduced to assess the relative importance weights of attributes in an MADM problem. The simple additive weighting method is utilized to aggregate the decision information, and then all the alternatives are ranked. Finally, a numerical example is given to show the feasibility and effectiveness of the method. The result shows that it is easier than other methods of integrating subjective and objective information.

关键词： multi-attribute decision-making eigenvector method alternative ranking

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